Question

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Answer 1

It’s -15/4, which came from deriving -7/2 to have a similar denominator

Answer 2

`f=-(15)/(4)`

Explanation:

The first thing to do when solving any equation is to isolate the unknown variable. In this case we should start by trying to isolate f on the left side. We can do this by subtracting 1/4 from both sides, as this will move it to the other side while keeping the equation equal:

`f+(1)/(4) =-(7)/(2) \\\\f+(1)/(4) -(1)/(4) =-(7)/(2) -(1)/(4) \\\\f=-(7)/(2) -(1)/(4)`

Now that we have isolated the f, we can simplify the other side. We can't subtract them right away as they have different denominators, but we can solve this by multiplying the 7/2 by 2 so that its denominator is 4, allowing us to subtract the numerators:

`f=-(7)/(2) -(1)/(4) \\\\f=-(7*2)/(2*2) -(1)/(4) \\\\f=-(14)/(4)-(1)/(4) \\\\f=(-14-1)/(4) \\\\f=-(15)/(4)`

Hope this helped!